15. Find the missing number, if a certain rule is followed row-wise or column-wise in the given matrix, 3 ? 5 5 4 7 4 4 6 36 32 114 (1) 4 () 4 (2) 6 2 (3) 9 (4)8
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answer is (1)..4
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In the first column, we can see that the 4th, i.e the last entry can be calculated using first three entries as 18×(12÷3)=72.
This also applies to the 3rd column, where 32×(16÷4)=128.
So, the rule is " 4th entry = (1st entry) × (2nd entry ÷ 3rd entry) ".
Applying this rule in the 2nd column, we can find the missing number.
Suppose the missing number is X. Then, according to the rule
24×(14÷X)=112.
Solving it we can find X.
Thus, X=(24×14)÷112=336÷112=3.
So, the value of X is 3.
This also applies to the 3rd column, where 32×(16÷4)=128.
So, the rule is " 4th entry = (1st entry) × (2nd entry ÷ 3rd entry) ".
Applying this rule in the 2nd column, we can find the missing number.
Suppose the missing number is X. Then, according to the rule
24×(14÷X)=112.
Solving it we can find X.
Thus, X=(24×14)÷112=336÷112=3.
So, the value of X is 3.
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